Question
Download Solution PDFIf three consecutive ordinates are taken at 2 m intervals from a traverse line and measured as 1.8 m, 2.5 m and 2.0 m , then the area between the traverse line, the first and last ordinates and the boundary, by trapezoidal rule, is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
To find the area between the traverse line and the ordinates using the trapezoidal rule, we can use the formula:
\(A = {{h} \over 2}(y_0+2y_1+y_2)\)
where h is the interval between the ordinates, y0 is the first ordinate, y1 is the middle ordinate, and y2 is the last ordinate.
Calculation:
Given Data: y0 = 1.8 m, y1 = 2.5 m, and y2 = 2.0 m
h = 2.0 m
\(A = {{2} \over 2}(1.8+2\times2.5+2)\)
A = 8.8 sqm
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